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All results from a given calculation for C6H6 (1,2,4,5-Hexatetraene)

using model chemistry: PBEPBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-231.769387
Energy at 298.15K-231.773319
HF Energy-231.769387
Nuclear repulsion energy174.777536
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3089 3046 0.00      
2 Ag 3070 3027 0.00      
3 Ag 1998 1971 0.00      
4 Ag 1486 1465 0.00      
5 Ag 1395 1376 0.00      
6 Ag 1180 1164 0.00      
7 Ag 1024 1010 0.00      
8 Ag 884 872 0.00      
9 Ag 531 523 0.00      
10 Ag 232 229 0.00      
11 Au 3140 3097 15.63      
12 Au 1015 1001 0.75      
13 Au 919 907 42.84      
14 Au 484 477 3.07      
15 Au 350 345 10.34      
16 Au 88 87 0.56      
17 Bg 3140 3097 0.00      
18 Bg 1017 1003 0.00      
19 Bg 888 876 0.00      
20 Bg 670 661 0.00      
21 Bg 312 308 0.00      
22 Bu 3100 3057 12.54      
23 Bu 3070 3027 29.99      
24 Bu 2028 2000 85.20      
25 Bu 1455 1435 0.89      
26 Bu 1277 1259 6.01      
27 Bu 1101 1086 4.77      
28 Bu 884 872 135.61      
29 Bu 537 529 23.02      
30 Bu 123 121 0.76      

Unscaled Zero Point Vibrational Energy (zpe) 20242.4 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 19963.1 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBE/6-31G
ABC
1.07994 0.04441 0.04342

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.659 0.000
C2 0.326 -0.659 0.000
C3 0.326 1.817 0.000
C4 -0.326 -1.817 0.000
C5 0.972 2.964 0.000
C6 -0.972 -2.964 0.000
H7 -1.424 0.662 0.000
H8 1.424 -0.662 0.000
H9 1.257 3.472 0.929
H10 1.257 3.472 -0.929
H11 -1.257 -3.472 0.929
H12 -1.257 -3.472 -0.929

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46961.32922.47562.64583.68001.09772.19213.35953.35954.33534.3353
C21.46962.47561.32923.68002.64582.19211.09774.33534.33533.35953.3595
C31.32922.47563.69211.31664.95432.09612.71162.11442.11445.59885.5988
C42.47561.32923.69214.95431.31662.71162.09615.59885.59882.11442.1144
C52.64583.68001.31664.95436.23903.32213.65461.09691.09696.87476.8747
C63.68002.64584.95431.31666.23903.65463.32216.87476.87471.09691.0969
H71.09772.19212.09612.71163.32213.65463.14023.99303.99304.24124.2412
H82.19211.09772.71162.09613.65463.32213.14024.24124.24123.99303.9930
H93.35954.33532.11445.59881.09696.87473.99304.24121.85877.38577.6160
H103.35954.33532.11445.59881.09696.87473.99304.24121.85877.61607.3857
H114.33533.35955.59882.11446.87471.09694.24123.99307.38577.61601.8587
H124.33533.35955.59882.11446.87471.09694.24123.99307.61607.38571.8587

picture of 1,2,4,5-Hexatetraene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 124.317 C1 C2 H8 116.524
C1 C3 C5 179.969 C2 C1 C3 124.317
C2 C1 H7 116.524 C2 C4 C6 179.969
C3 C1 H7 119.159 C3 C5 H9 122.082
C3 C5 H10 122.082 C4 C2 H8 119.159
C4 C6 H11 122.082 C4 C6 H12 122.082
H9 C5 H10 115.836 H11 C6 H12 115.836
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.233      
2 C -0.233      
3 C 0.191      
4 C 0.191      
5 C -0.468      
6 C -0.468      
7 H 0.171      
8 H 0.171      
9 H 0.170      
10 H 0.170      
11 H 0.170      
12 H 0.170      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.328 3.087 0.000
y 3.087 -30.697 0.000
z 0.000 0.000 -35.755
Traceless
 xyz
x -1.102 3.087 0.000
y 3.087 4.345 0.000
z 0.000 0.000 -3.243
Polar
3z2-r2-6.485
x2-y2-3.632
xy3.087
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.570 6.400 0.000
y 6.400 20.396 0.000
z 0.000 0.000 4.739


<r2> (average value of r2) Å2
<r2> 248.063
(<r2>)1/2 15.750